Sentence examples for 2 herein from inspiring English sources

There exists a constant (T > 0) such that begin{aligned} sup limits _{h in S 0,1 }int limits _{T}^{infty } ||A t)h||mathrm{d}t < q <dfrac{1}{kappa } end{aligned}, (2) herein S 0, 1) is a unit ball in H, (kappa = L(K+M) + 1,) where K, M, L are given in ((gamma _1)), ((gamma _2)) and ((M_3)).

2 Herein we have demonstrated in a prospective fashion that a newly established ESU can alter regional patterns in the delivery of endocrine surgical care.

Guided by previous work on [PhBCl 2-DMAP)]+ and [vinylBCl(2-DMAPhBCl 2-DMAPwhich chloride migrates in preference to the hydrocarbyl (Scheme 2), herein we report borocations that are designed to permit only hydrocarbyl migration.

The value for the micellar diffusion can therefore be calculated by the Equation (2): (2) Herein, the concentration of free bile molecules (Af) is the cmc and the diffusion coefficient of the free bile can be obtained from Figure  3.

Reviewer #2: Herein Khoutorsky et al. have conducted experiments examining the role of eIF4E-dependent translatinnociceptionption by examining mechanical and thermal pain sensitivity in mice lacking the repressor 4E-BP1.

2 Herein, we report a simple and convenient synthesis of sugar-coated PEGylated CdSe/ZnS QDs with varying carbohydrate types and surface density that were used to study the effect of glycan type and presentation on cellular uptake and intracellular localization.

TH induces metamorphosis by up-regulating TH-response genes, including TRβ, ST3, and KLF9 measured herein (18, 20, 44).

The obligations and restrictions set forth in sections 3 and 4 herein concerning Microsoft shall, after the Implementation of the Plan, apply only to the Operating Systems Business.

where C θ ks = 20 log A ks θ − 10 α k log d k θ and d k represents the distance between k th BS and the MS, that is, d k = ( x − x k ) 2 + ( y − y k ) 2. Herein, k index represents the BS, and s represents the sector that belongs to BS k.

We recall that TX2 was introduced as an opportunistic device that can obtain the necessary CSI to design E, in Section 2. Herein, the cognitive nature is represented by HT's ability to act both as an OFDM receiver during the channel estimation phase and as a CIA transmitter in the downlink phase, under the adopted hybrid approach.

The instantaneous detection signal-to-noise ratio (SNR) at the i th SU is given as γ i = | h i | 2 σ s 2 σ u 2. Herein, we also assume that the fusion center has perfect knowledge of the instantaneous detection SNR γ i, and this can be realized by direct feedback from the SUs.